A invests ₹6,00,000 more than B in a business. B invests his capital for $7\frac{1}{2}$ months, while A invests his capital for $2\frac{1}{2}$ more months than B. Out of the total profit of ₹12,40,000, if the share of B is ₹2,48,000 less than the share of A, then the capital of B is:

₹48,00,000

Total profit = 12,40,000

Let profit of A be x

Profit of B = x – 248000

x + x – 2,48,000 = 12,40,000

2x = 12,40,000 + 2,48,000

2x = 1488000

x = 744000

Profit of A = 744000

Profit of B = 744000 – 248000 = 496000

ratio of Profit of           A          :          B

                           744000        :       496000

                               3             :          2

Time of investment of B = 7.5 months

Time of investment of A = 7.5 + 2.5 = 10months

Let investment of A = P  & Investment of B = Q

So , \(\frac{10P}{7.5Q}\) = \(\frac{3}{2}\)

\(\frac{P}{Q}\) = \(\frac{9}{8}\)

ATQ, (9-8)R = 600000

Capital of B = 8 × 600000 = 4800000